Question

1 if the angles of a Quadrilateral
are in
the ratio 2:3:1:4 Find all the angles
an Quadrilateral ​

Answer 1

Answer:

2:3:1:4

Step-by-step explanation:

2x+3x+1x+4x = 360degree

10x = 360 degree

x= 360/10

x = 36

Answer 2

Answer:

Step-by-step explanation:

Given , the angles of a quadrilateral ABCD are in the ratio 2:3:1:4

Let ∠A = 2x  ∠B = 3x  ∠C = 1x  ∠D = 4x

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 2x + 3x + 1x + 4x = 360°

⇒ 10x = 360

⇒ x = 360 ÷ 10 = 36

So , the angles of the quadrilateral are

∠A = (2 × 36)° = 72°

∠B = (3 × 36)° = 108°

∠C = (1 × 36)° = 36°

∠D = (4 × 36)° = 144°